Whakaoti i te (1*10^-3)*(10*10^3)=mu(2.3*10^22)*(4*10^2)

$$( 1 \times 10 ^ { - 3 } ) \times ( 10 \times 10 ^ { 3 } ) = \mu ( 2.3 \times 10 ^ { 22 } ) \times ( 4 \times 10 ^ { 2 } )$$

Whakaoti mō μ

$$\mu =\frac{1}{920000000000000000000000}\approx 1.086956522 \cdot 10^{-24}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -3 me te 1 kia riro ai te -2.

$$1\times 10^{-2}\times 10^{3}=\mu \times 2.3\times 10^{22}\times 4\times 10^{2}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -2 me te 3 kia riro ai te 1.

$$1\times 10^{1}=\mu \times 2.3\times 10^{22}\times 4\times 10^{2}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 22 me te 2 kia riro ai te 24.

$$1\times 10^{1}=\mu \times 2.3\times 10^{24}\times 4$$

Tātaihia te 10 mā te pū o 1, kia riro ko 10.

$$1\times 10=\mu \times 2.3\times 10^{24}\times 4$$

Whakareatia te 1 ki te 10, ka 10.

$$10=\mu \times 2.3\times 10^{24}\times 4$$

Tātaihia te 10 mā te pū o 24, kia riro ko 1000000000000000000000000.

$$10=\mu \times 2.3\times 1000000000000000000000000\times 4$$

Whakareatia te 2.3 ki te 1000000000000000000000000, ka 2300000000000000000000000.

$$10=\mu \times 2300000000000000000000000\times 4$$

Whakareatia te 2300000000000000000000000 ki te 4, ka 9200000000000000000000000.

$$10=\mu \times 9200000000000000000000000$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\mu \times 9200000000000000000000000=10$$

Whakawehea ngā taha e rua ki te 9200000000000000000000000.

$$\mu =\frac{10}{9200000000000000000000000}$$

Whakahekea te hautanga \frac{10}{9200000000000000000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\mu =\frac{1}{920000000000000000000000}$$